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Finding the Fourth Proportional to 2,510.64, 3,766.02 and 778.92

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Solution

The fourth proportional to 2,510.64, 3,766.02 and 778.92 is: 1,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.64 : 3,766.02 = 778.92 : x
  2. Step 2: Convert to fraction form
    2,510.64/3,766.02 = 778.92/x
  3. Step 3: Cross multiply
    2,510.64x = 3,766.02 × 778.92
  4. Step 4: Simplify right side
    2,510.64x = 2,933,428.30
  5. Step 5: Solve for x
    x = 2,933,428.30/2,510.64
  6. Step 6: Final answer
    x = 1,168.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.